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Finding the Third Proportional to 492,093 and 803,535

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Solution

The third proportional to 492,093 and 803,535 is: 1,312,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,093 : 803,535 = 803,535 : x
  2. Step 2: Convert to fraction form
    492,093/803,535 = 803,535/x
  3. Step 3: Cross multiply
    492,093x = 803,535 × 803,535
  4. Step 4: Simplify right side
    492,093x = 645,668,496,225
  5. Step 5: Solve for x
    x = 645,668,496,225/492,093
  6. Step 6: Final answer
    x = 1,312,086.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.